Inequalities For RRB PO 2025, Check Most Asked Questions with Answers

Inequalities For RRB PO 2025: Preparing for the Reasoning section of the RRB PO 2025 examination requires a complete understanding of key topics for Inequalities. This topic is a staple in government exams, including the RRB PO, where candidates can expect 2-4 questions, each carrying 1 mark. This article explores the concept of inequalities, the types of questions asked, and provides a selection of the most frequently asked practice questions along with the detailed solution.

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What Are Inequalities?

Inequalities are mathematical expressions used to compare two values or expressions. In reasoning questions, inequalities involve a series of relations between different elements using symbols like >, <, ≥, ≤, =, and ≠. The candidate is asked to deduce the correct relationship between two given elements.

Important Symbols & Their Meanings

Here we are providing inequalities important symbols along with their meanings. Candidates can check all symbols in the table below.

Symbol	Meaning
>	Greater than
<	Less than
=	Equal to
≥	Greater than or equal to
≤	Less than or equal to
≠	Not equal to

Types of Inequality Questions

Inequality questions in the RRB PO exam are typically categorised into two types:

Basic Inequality Questions: These involve direct use of inequality symbols to establish relationships between elements. For example: P < Q ≤ R ≥ S.

Missing Symbol Inequality Questions: Candidates must choose the correct symbols to fill in blanks to satisfy given conditions, such as A > B _ C _ D ≥ E.

Inequalities Important Questions for RRB PO 2025 Exam

Question 1: Which combination of symbol should replace (1) and (2), respectively in the given expression in order to make the expressions ‘Z > U’ and ‘W ≤ X’ definitely true?

A = Z (1) T = X ≥ S (2) U=Y≥W

A) ≥, ≥

B) =, =

C) >, =

D) =, ≥

E) Both (c) and (d)

Question 2: Which combination of symbol should replace (1) and (2) respectively, in the given expression in order to make the expressions ‘D = C’ and ‘A > B’ definitely false?

B > E (1) D = A ≥ F (2) C = G

A) ≥, ≥

B) ≥, >

C) >, ≤

D) =, >

E) Both (b) and (d)

Question 3: In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and then give your answer accordingly.

Statements: K = M ≥ O ≥ P > T = R; J ≤ N ≤ K = Y

Conclusions:

I. M > J

II. Y ≥ P

III. K < R

A) Only Conclusion I is true

B) Only Conclusions I and II are true

C) Only Conclusion I and III are true

D) Only Conclusion II is true

E) All the Conclusions are true.

Question 4: In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and then give your answer accordingly.

Statements: P ≥ R > N = V ≥ Q; M > O ≥ S < T > Y = P

Conclusions:

I. T ≥ R

II. O ≤ P

III. Y > O

A) Only Conclusion I is true

B) Only Conclusions I and II are true

C) Only Conclusion III is true

D) Only Conclusion II is true

E) None of the above

Question 5: In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are true and then give your answer accordingly.

Statements:

G > S > O = P ≤ R, O ≥ T > B > W ≤ A

Conclusion:

I. R ≥ T

II. G > A

III. S > W

A) Only conclusions I and II are true.

B) Only conclusion II is true.

C) Only conclusion III is true.

D) Only conclusions I and III are true.

E) None of the above.

Tricks to Solve Inequalities Fast

Here we are providing the strategy & tricks to solve questions easily. Candidates can check the detailed strategy in the section below.

Combine Relations Carefully: Always move from left to right while combining the relations between two elements.

Stop at the Strongest Relation: Between two conflicting relations, the strongest one prevails.
For example:
If A ≥ B > C → relation between A and C = A > C

Either-Or Case Identification:

• Conditions:
  
  1. Both conclusions must be wrong individually.
     
  2. Both should involve the same elements.
     
  3. One conclusion must be A > B type and the other A = B type.
     

Eliminate Options Quickly: Start with direct conclusions first, followed by indirect ones.

Tips for Mastering Inequalities

1. Master Basic Concepts: Understand inequality symbols, number line representations, and rules for manipulating inequalities (e.g., multiplying by a negative number reverses the inequality).
2. Solve Previous Year Papers: Practice with past papers to identify common question patterns.
3. Check for Complementary Pairs: When two conclusions involve the same elements and form an either-or scenario, check if they satisfy a broader condition (e.g., A ≥ B).
4. Time Management: Since the prelims allow about 1 minute per question, practice solving inequalities quickly using shortcuts, such as testing boundary points for quadratic inequalities.
5. Mock Tests: Candidates can take mock tests to know what types of questions come in the examination and know the difficulty level.

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